Least Common Multiple (LCM) of 125 and 165
The least common multiple (LCM) of 125 and 165 is 4125.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 125 and 165?
First, calculate the GCD of 125 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 125 ÷ 165 = 0 remainder 125 |
| 2 | 165 ÷ 125 = 1 remainder 40 |
| 3 | 125 ÷ 40 = 3 remainder 5 |
| 4 | 40 ÷ 5 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 77 | 7777 |
| 51 and 15 | 255 |
| 49 and 142 | 6958 |
| 11 and 106 | 1166 |
| 47 and 149 | 7003 |